Chapter 6: Ratio and Proportion

1.______
Solve for x:
1. 1
2. -3
3. 3
4. 5
2.______
If x varies directly as y and x = 6 when y = 15, find the value of x when y = 25.
1. 9
2. 10
3. 16
4. 20
3.______
Solve for x:
1. 1
2. 2
3. -1
4.
4.______
If x varies directly as y, find x when y = 1 if x = 12 when y = 4.
1.
2.
3. 3
4. 4
5.______
If y varies directly as x and y = 24 when x = 4, find the value of y when x = 9.
1.
2. 6
3. 13
4. 54
6.______
If x varies directly as y and x = 8 when y = 4, find x when y = 16.
1. 2
2. 8
3. 16
4. 32
7.______
If x varies directly as y and x = 3 when y = 8, find the value of y when x = 9.
1. 8/3
2. 3/8
3. 27/8
4. 24
8.______
Solve for x:
1. 2
2. 4
3. 6
4. 8
9.______
Solve for x:
1. 1
2.
3. -
4. -1
10.______
Solve for n:
1. 3.5
2. 7
3. -8
4. 10
11.______
If 10 cubic centimeters of blood contains 1.2 grams of hemoglobin, how many grams of hemoglobin would 35 cubic centimeters of the same blood contain?
1. 4.2
2. 42
3. 29.2
4. 291.7
12.______
Which table represents direct variation?

13.______
In 3 hours, a car traveled 180 kilometers. At the same average rate, how many kilometers can the car travel in 5 hours?
1. 60
2. 180
3. 240
4. 300
14.______
Which is a graphic representation of "y varies directly as x"?

15.______
There are a total of 126 cats and dogs at an animal shelter. For every 5 dogs, there are 4 cats. How many cats are in the shelter?
1. 14
2. 28
3. 56
4. 70
16.______
There are a total of 126 cats and dogs at an animal shelter. For every 5 dogs, there are 4 cats. How many dogs are in the shelter?
1. 14
2. 28
3. 56
4. 70
17.______
Solve for m:
1. 31/4
2. 9
3. 14
4. 4
18.______
If s varies directly as t and s = 7 when t = 3.5, find s when t = 4.
1. 4.5
2. 7.5
3. 8
4. 8.5
19.______
During a recent winter, the ratio of deer to foxes was 7 to 3 in a rural area. If there were 210 foxes in the area, what was the number of deer in the area?
1. 90
2. 147
3. 280
4. 490
20.______
In a molecule of water, there are two atoms of hydrogen and one atom of oxygen. How many atoms of hydrogen are in 28 molecules of water?
1. 14
2. 29
3. 42
4. 56
21.______
Which table does not show an example of direct variation?

22.______
Sterling silver is made of an alloy of silver and copper in the ratio of 37:3. If the mass of a sterling silver ingot is 600 grams, how much silver does it contain?
1. 48.65 g
2. 200 g
3. 450 g
4. 555 g
23.______
There are 357 seniors in Harris High School. The ratio of boys to girls is 7:10. How many boys are in the senior class?
1. 210
2. 147
3. 117
4. 107
24.______
There are 357 seniors in Harris High School. The ratio of boys to girls is 7:10. How many girls are in the senior class?
1. 210
2. 147
3. 117
4. 107
25.______
On a map, 1 centimeter represents 40 kilometers. How many kilometers are represented by 8 centimeters?
1. 5
2. 48
3. 280
4. 320
26.
An image of a building in a photograph is 6 centimeters wide and 11 centimeters tall. If the image is similar to the actual building and the actual building is 174 meters wide, how tall is the actual building, in meters?
meters
27.
If the instructions for cooking a turkey state "Roast turkey at 325° for 20 minutes per pound," how long will it take to roast a 20-pound turkey at 325°? Express your answer in hours and minutes.
hours and minutes
28.______
The ratio of Tariq's telephone bill to Pria's telephone bill was 7:5. Tariq's bill was $14 more than Pria's bill. What was Tariq's bill?
1. $21
2. $28
3. $35
4. $49
29.______
A cake recipe calls for 1.5 cups of milk and 3 cups of flour. Seth made a mistake and used 5 cups of flour. How many cups of milk should he use to keep the proportions correct?
1. 1.75
2. 2
3. 2.25
4. 2.5
30.______
Which equation represents the direct variation relationship of the equation ?
1. y = x +
2. y = 2x
3. y = 3x
4. x = 2y
31.
Sue bought a picnic table on sale for 50% off the original price. The store charged her 10% tax and her final cost was $22.00. What was the original price of the picnic table?
$
32.______
A hockey team played n games, losing four of them and winning the rest. The ratio of games won to games lost is
1.
2.
3.
4.
33.
After an ice storm, the following headlines were reported in the Glacier County Times:
· Monday: Ice Storm Devastates County - 8 out of every 10 homes lose electrical power
· Tuesday: Restoration Begins - Power restored to of affected homes
· Wednesday: More Freezing Rain - Power lost by 20% of homes that had power on Tuesday
Based on these headlines, what fractional portion of homes in Glacier County had electrical power on Wednesday?
34.______
Twenty-five percent of 88 is the same as what percent of 22?
1. 12 %
2. 40%
3. 50%
4. 100%
35.
A factory packs CD cases into cartons for a music company. Each carton is designed to hold 1,152 CD cases. The Quality Control Unit in the factory expects an error of less than 5% over or under the desired packing number. What is the least number and the most number of CD cases that could be packed in a carton and still be acceptable to the Quality Control Unit?
least acceptable number =
most acceptable number =
36.
Ninety percent of the ninth grade students at Richbartville High School take algebra. If 180 ninth grade students take algebra, how many ninth grade students do not take algebra?
students
37.
The world population was 4.2 billion people in 1982. The population in 1999 reached 6 billion. Find the percent of change from 1982 to 1999. Round your answer to the nearest tenth of a percent.
%
38.
Mr. Smith's class voted on their favorite ice cream flavors, and the results are shown in the accompanying diagram. If there are 20 students in Mr. Smith's class, how many students chose coffee ice cream as their favorite flavor?

students
39.
In a town election, candidates A and B were running for mayor. There were 30,500 people eligible to vote, and of them actually voted. Candidate B received of the votes cast.
a How many people voted for candidate B?
b What percent of the votes cast, to the nearest tenth of a percent, did candidate A receive? %
40.______
Rashawn bought a CD that cost $18.99 and paid $20.51, including sales tax. What was the rate of the sales tax?
1. 5%
2. 2%
3. 3%
4. 8%
41.
A ribbon 56 centimeters long is cut into two pieces. One of the pieces is three times longer than the other. Find the lengths, in centimeters, of both pieces of ribbon.
The shorter piece is cm long.
The longer piece is cm long.
42.______
In a class of 24 students, 10 have brown hair, 8 have black hair, 4 have blond hair, and 2 have red hair. Which circle graph best shows the students' hair color?

43.
Nine hundred students were asked whether they thought their school should have a dress code. A circle graph was constructed to show the results. The central angles for two of the three sectors are shown in the accompanying diagram. What is the number of students who felt that the school should have no dress code?

Answer: students
44.______
The Edison Lightbulb Company tests 5% of their daily production of lightbulbs. If 500 bulbs were tested on Tuesday, what was the total number of bulbs produced that day?
1. 25
2. 1,000
3. 10,000
4. 100,000
45.______
The circumference of a circular plot of land is increased by 10%. What is the best estimate of the total percentage that the area of the plot increased?
1. 10%
2. 21%
3. 25%
4. 31%
46.______
On her first trip, Sari biked 24 miles in T hours. The following week Sari biked 32 miles in T hours. Determine the ratio of her average speed on her second trip to her average speed on her first trip.
1.
2.
3.
4.
47.
Running at a constant speed, Andrea covers 15 miles in 2.5 hours. At this speed, how many minutes will it take her to run 2 miles?
Answer: min
48.
A recent survey shows that the average man will spend 141,288 hours sleeping, 85,725 hours working, 81,681 hours watching television, 9,945 hours commuting, 1,662 hours kissing, and 363,447 hours on other tasks during his lifetime. What percent of his life, to the nearest tenth of a percent, does he spend sleeping?
Answer: %
49.______
A planned building was going to be 100 feet long, 75 feet deep, and 30 feet high. The owner decides to increase the volume of the building by 10% without changing the dimensions of the depth and the height. What will be the new length of this building?
1. 106 ft
2. 108 ft
3. 110 ft
4. 112 ft
50.
A 14-gram serving of mayonnaise contains 11 grams of fat. What percent of the mayonnaise, to the nearest tenth of a percent, is fat?
Answer: %

If 25% of a number is 12, find the number.

A clothing store offers a 50% discount at the end of each week that an item remains unsold. Patrick wants to buy a shirt at the store and he says, "I've got a great idea! I'll wait two weeks, have 100% off, and get it for free!" Explain to your friend Patrick what thecorrect percent of discount on the original price of a shirt.

A painting that regularly sells for a price of $55 is on sale for 20% off. The sales tax on the painting is 7%. Will the final total cost of the painting differ depending on whether the salesperson deducts the discount before adding the sales tax or takes the discount after computing the sum of the original price and the sales tax on $55?

Linda paid $48 for a jacket that was on sale for 25% of the original price. What was the original price of the jacket?

$60
$72
$96
$192

1.______
If an elf works 23 hours at Santa’s workshop and gets paid $166.75, how much does the elf make per hour?
1. $ 7.25
2. $ 7.50
3. $ 8.00
4. $ 7.00
2.
Aunt Mary drove 325 miles to visit her nephew for Thanksgiving. It took her 5 hours to drive from her house her nephew's house. What was her average rate of speed for her 5-hour trip?
Answer: mph
3.
At the local store, a 20-ounce bottle of FruitAde costs $1.60, and a 32-ounce bottle of FruitAde costs $1.92. How much cheaper per ounce is the 32-ounce bottle compared to the 20-ounce bottle?
Answer: cents
4.
A train travels at a rate of 45 mph and covers a distance of 292.5 miles. How many minutes did the train travel?
Answer: minutes
5.______
Phone company A sells 1200 minutes for $132 per month and phone company B sells 2000 minutes for $260 per month. Which company is cheaper and by how much per minute?
1. Company A by 3 cents per minute
2. Company B by 5 cents per minute
3. Company A by 2 cents per minute
4. Company B by 4 cents per minute
6.
A hose can fill a 12,000 gallon pool in 52 hours. How many gallons per hour, to the nearest gallon, is the hose’s output?
Answer: gallons per hour
7.
A professional football player can run the 40-yard dash in 4.2 seconds. How long would it take the player to run 10 feet, to the nearest hundredth of a second?
Answer: seconds
8.
If a secretary can type 90 words per minute, how many words can the secretary type in one hour?
Answer: words
9.
Molly earned $178.50 last week.She makes $8.50 an hour.How many hours did Molly work last week?
Answer: hours
10.
If a person can run 3 miles in 18 minutes and 36 seconds, how many seconds would it take the person to run a half mile?
Answer: seconds
11.______
On a trip, a student drove 40 miles per hour for 2 hours and then drove 30 miles per hour for 3 hours. What is the student's average rate of speed, in miles per hour, for the whole trip?
1. 34
2. 35
3. 36
4. 37
12.
If a car travels 1.5 miles, how many yards did the car travel?
Answer: yards
13.
If one acre of land is equal to 4840 square yards, how many square feet are in one acre?
Answer: square feet
14.______
If a pond holds 520,000 gallons of water, how many quarts does the pond have in it?
1. 20,800,000
2. 2,080,000
3. 280,000
4. 200,800,000
15.______
If a load of soil weighs 1.25 tons, how many ounces does the load weigh?
1. 400,000
2. 4,000
3. 40,000
4. 4,000,000
16.
If the volume of a jug of water is 200 ounces, how many quarts does the jug contain?
Answer: quarts
17.______
An open field has an area of 60,000 square meters. How many square kilometers is the field?
1. 6
2. 60
3. 0.06
4. 0.6
18.______
A bag of groceries weighs 32 grams. How many kilograms does the bag weigh?
1. 3.2
2. 0.032
3. 0.32
4. 320
19.______
Doyle is 5 feet 10 inches tall. How tall is Doyle in inches?
1. 15
2. 60
3. 72
4. 70
20.______
A developer just bought 160 acres of land on which she plans to build new homes. What is the measurement of the area of the land in square miles?
1. 0.25 square miles
2. 1 square miles
3. 0.5 square miles
4. 1.5 square miles
21.______
The volume of a box is 5,184 cubic inches. How many cubic yards is the volume of the box?
1.
2.
3. 1
4. 1.5